1.

Record Nr.

UNINA9910972394703321

Autore

Fragnelli Genni

Titolo

Corrigendum and Improvements to Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations and Its Consequences

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 2021

©2021

ISBN

9781470467487

1470467488

Edizione

[1st ed.]

Descrizione fisica

1 online resource (32 pages)

Collana

Memoirs of the American Mathematical Society ; ; v.272

Classificazione

35K6593B0593B07

Altri autori (Persone)

MugnaiDimitri

Disciplina

515/.3534

Soggetti

Inequalities (Mathematics)

Differential equations, Parabolic

Carleman theorem

Sobolev spaces

Partial differential equations -- Parabolic equations and systems -- Degenerate parabolic equations

Systems theory; control -- Controllability, observability, and system structure -- Controllability

Systems theory; control -- Controllability, observability, and system structure -- Observability

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Correction to [2] -- Chapter 3. Correction to [1] -- Chapter 4. Correction to [3] -- Acknowledgments -- Bibliography -- Back Cover.

Sommario/riassunto

"In Chapter 5 of [2] there is a mistake in one assumption, which do not affect the results of the paper in the previous chapters. Precisely, the assumption in equation (5.2) has to be replaced by equation (5.6) therein. This replacement propagates in Hypotheses 5.2 and 5.3, as well as in Sections 4 and 5 of [1] and in Hypothesis 4.1(ii) of [3]. For the readers' convenience, we write here all the proofs of the involved results, though they are very similar. We remark that in all cases, replacing the correct assumptions makes all the written results true,



and in most cases the proofs we give here are simpler than before. Each section follows the notations and the enumeration of the corresponding paper"--